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Simplifying 3(x + -9) + -4 = 2x + -7 Reorder the terms: 3(-9 + x) + -4 = 2x + -7 (-9 * 3 + x * 3) + -4 = 2x + -7 (-27 + 3x) + -4 = 2x + -7 Reorder the terms: -27 + -4 + 3x = 2x + -7 Combine like terms: -27 + -4 = -31 -31 + 3x = 2x + -7 Reorder the terms: -31 + 3x = -7 + 2x Solving -31 + 3x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x -31 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 1x = -7 + 0 -31 + 1x = -7 Add '31' to each side of the equation. -31 + 31 + 1x = -7 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = -7 + 31 1x = -7 + 31 Combine like terms: -7 + 31 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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